Seminar on Dynamic Systems
主講者: 張瑞珍 教授 (Texas Tech University)
講題: Dynamics of a system of three interacting populations with Allee effects and stocking
時間: 2014-12-25 (Thu.)  15:30 - 16:30
地點: 數學所 722 研討室 (台大院區)
Abstract: We present a model of three interacting populations where two populations engage in competition and two populations are in predator-prey type interaction. One of the two competing populations is subject to Allee effects and is also a pest population. The other competing population is regarded as a control agent and is the host for the predator population. There is a constant level of the external control agents released into the interaction at each generation after parasitism. We provide asymptotic dynamics of the competition subsystem and prove that a Neimark-Sacker bifurcation occurs for the host-parasitoid sub-system. It is not possible for the three interacting populations to persist for all positive initial conditions. Sufficient conditions based on the initial size of the population with Allee effects are presented for persistence of the three populations.
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